Search a number
-
+
30945201240 = 2335293987743
BaseRepresentation
bin11100110100011110…
…100100110001011000
32221212121212002201110
4130310132210301120
51001333432414430
622114355020320
72143564604412
oct346436446130
987777762643
1030945201240
111213a839788
125bb759a6a0
132bc2156885
1416d7bad9b2
15c11ad37b0
hex7347a4c58

30945201240 has 64 divisors (see below), whose sum is σ = 92868249600. Its totient is φ = 8249151872.

The previous prime is 30945201229. The next prime is 30945201253. The reversal of 30945201240 is 4210254903.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 30945201198 and 30945201207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308809 + ... + 396551.

It is an arithmetic number, because the mean of its divisors is an integer number (1451066400).

Almost surely, 230945201240 is an apocalyptic number.

30945201240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30945201240 is an abundant number, since it is smaller than the sum of its proper divisors (61923048360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30945201240 is a wasteful number, since it uses less digits than its factorization.

30945201240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90696 (or 90692 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 30945201240 in words is "thirty billion, nine hundred forty-five million, two hundred one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2939 5878 8817 11756 14695 17634 23512 29390 35268 44085 58780 70536 87743 88170 117560 175486 176340 263229 350972 352680 438715 526458 701944 877430 1052916 1316145 1754860 2105832 2632290 3509720 5264580 10529160 257876677 515753354 773630031 1031506708 1289383385 1547260062 2063013416 2578766770 3094520124 3868150155 5157533540 6189040248 7736300310 10315067080 15472600620 30945201240